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14864052 = 22372171487
BaseRepresentation
bin111000101100…
…111010110100
31000222011122110
4320230322310
512301122202
61250331020
7240225300
oct70547264
930864573
1014864052
118432645
124b89a70
1331057c8
141d8cd00
15148926c
hexe2ceb4

14864052 has 72 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 3994368.

The previous prime is 14864051. The next prime is 14864071. The reversal of 14864052 is 25046841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14864051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9253 + ... + 10739.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 214864052 is an apocalyptic number.

14864052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

14864052 is an abundant number, since it is smaller than the sum of its proper divisors (27883212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14864052 is a wasteful number, since it uses less digits than its factorization.

14864052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14864052 is about 3855.3925870137. The cubic root of 14864052 is about 245.8738860484.

The spelling of 14864052 in words is "fourteen million, eight hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1487 1666 2499 2974 3332 4461 4998 5948 8922 9996 10409 17844 20818 25279 31227 41636 50558 62454 72863 75837 101116 124908 145726 151674 176953 218589 291452 303348 353906 437178 530859 707812 874356 1061718 1238671 2123436 2477342 3716013 4954684 7432026 14864052